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Finding the Fourth Proportional to 52,468.68, 72,406.84 and 28,595.38

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Solution

The fourth proportional to 52,468.68, 72,406.84 and 28,595.38 is: 39,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,468.68 : 72,406.84 = 28,595.38 : x
  2. Step 2: Convert to fraction form
    52,468.68/72,406.84 = 28,595.38/x
  3. Step 3: Cross multiply
    52,468.68x = 72,406.84 × 28,595.38
  4. Step 4: Simplify right side
    52,468.68x = 2,070,501,104.40
  5. Step 5: Solve for x
    x = 2,070,501,104.40/52,468.68
  6. Step 6: Final answer
    x = 39,461.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.